101987424000 has 2160 divisors, whose sum is σ = 488223511776. Its totient is φ = 20901888000.

The previous prime is 101987423987. The next prime is 101987424031. The reversal of 101987424000 is 424789101.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1397087964 + ... + 1397088036.

Almost surely, 2^101987424000 is an apocalyptic number.

101987424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101987424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244111755888).

101987424000 is an abundant number, since it is smaller than the sum of its proper divisors (386236087776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101987424000 is an equidigital number, since it uses as much as digits as its factorization.

101987424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 101987424000 in words is "one hundred one billion, nine hundred eighty-seven million, four hundred twenty-four thousand".